Details

analyze968.0ms (16.8%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
0%	93.6%	6.4%	7
6.2%	87.4%	6.4%	8
10.1%	81.1%	8.7%	9
15.6%	71%	13.4%	10
22%	63%	15%	11
29.1%	52.9%	18.1%	12
33.8%	45.6%	20.5%	13
38.8%	38.9%	22.3%	14

Compiler

Compiled 21 to 15 computations (28.6% saved)

sample2.4s (41.9%)

Results

783.0ms	5342×	body	128	valid
656.0ms	1180×	body	2048	valid
332.0ms	763×	body	1024	valid
300.0ms	420×	body	4096	valid
162.0ms	1149×	body	128	invalid
117.0ms	349×	body	512	valid
47.0ms	202×	body	256	valid

preprocess48.0ms (0.8%)

Algorithm

2×	egg-herbie

Rules

795×	`fma-def_binary64`
731×	`div-sub_binary64`
295×	`fma-neg_binary64`
212×	`associate-/l*_binary64`
209×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	104
1	92	88
2	213	88
3	440	88
4	758	88
5	1251	88
6	2221	88
7	4457	88
0	3	3

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2

Call 2

Inputs
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))
(/.f64 (+.f64 (neg.f64 a) (sqrt.f64 (-.f64 (.f64 a a) (.f64 (.f64 3 b) c)))) (.f64 3 b))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 c) a)))) (.f64 3 c))
(/.f64 (+.f64 (neg.f64 c) (sqrt.f64 (-.f64 (.f64 c c) (.f64 (.f64 3 a) b)))) (.f64 3 a))

Outputs
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (.f64 c -3)))) b) (*.f64 3 a))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 c (.f64 a -3) (.f64 b b))) b) (*.f64 3 a))
(.f64 -1/3 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 c (.f64 a -3) (*.f64 b b)))) a))
(.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -3))))) (/.f64 -1/3 a))
(/.f64 (+.f64 (neg.f64 a) (sqrt.f64 (-.f64 (.f64 a a) (.f64 (.f64 3 b) c)))) (.f64 3 b))
(/.f64 (+.f64 (neg.f64 a) (sqrt.f64 (-.f64 (.f64 a a) (.f64 3 (.f64 b c))))) (.f64 b 3))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 a a (.f64 c (.f64 b -3)))) a) (*.f64 b 3))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 c (.f64 b -3) (.f64 a a))) a) (*.f64 b 3))
(.f64 -1/3 (/.f64 (-.f64 a (sqrt.f64 (fma.f64 c (.f64 b -3) (*.f64 a a)))) b))
(.f64 (/.f64 (-.f64 a (sqrt.f64 (fma.f64 a a (.f64 (*.f64 b c) -3)))) b) -1/3)
(.f64 (-.f64 a (sqrt.f64 (fma.f64 b (.f64 c -3) (*.f64 a a)))) (/.f64 -1/3 b))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 c) a)))) (.f64 3 c))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (.f64 c a))))) (.f64 3 c))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (.f64 c -3)))) b) (*.f64 3 c))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 c (.f64 a -3) (.f64 b b))) b) (*.f64 3 c))
(.f64 -1/3 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 c (.f64 a -3) (*.f64 b b)))) c))
(.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -3))))) (/.f64 -1/3 c))
(/.f64 (+.f64 (neg.f64 c) (sqrt.f64 (-.f64 (.f64 c c) (.f64 (.f64 3 a) b)))) (.f64 3 a))
(/.f64 (+.f64 (neg.f64 c) (sqrt.f64 (-.f64 (.f64 c c) (.f64 b (.f64 3 a))))) (.f64 3 a))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 c c (.f64 b (.f64 a -3)))) c) (*.f64 3 a))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b (.f64 a -3) (.f64 c c))) c) (*.f64 3 a))
(.f64 -1/3 (/.f64 (-.f64 c (sqrt.f64 (fma.f64 b (.f64 a -3) (*.f64 c c)))) a))
(.f64 (-.f64 c (sqrt.f64 (fma.f64 b (.f64 a -3) (*.f64 c c)))) (/.f64 -1/3 a))

Compiler

Compiled 20 to 14 computations (30% saved)

simplify34.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1220×	`fma-neg_binary64`
367×	`fma-def_binary64`
351×	`times-frac_binary64`
266×	`associate-/l*_binary64`
254×	`div-sub_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	26
1	30	22
2	69	22
3	160	22
4	264	22
5	433	22
6	744	22
7	1341	22
8	2769	22
9	4702	22

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

Inputs
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))

Outputs
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 -3 (.f64 a c)))) b) (*.f64 3 a))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (.f64 -3 c)))) b) (*.f64 3 a))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -3) (.f64 b b))) b) (*.f64 3 a))
(.f64 (-.f64 b (sqrt.f64 (fma.f64 a (.f64 c -3) (*.f64 b b)))) (/.f64 -1/3 a))
(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -3)))) b) (/.f64 1/3 a))

prune4.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Kept	Total
New	2	2
Fresh	1	1
Picked	0	0
Done	0	0
Total	3	3

Error

34.9b

Counts

3 → 2

Alt Table

Status	Error	Program
	35.0b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -3)))) b) (/.f64 1/3 a))
▶	35.0b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))

Compiler

Compiled 111 to 75 computations (32.4% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))
✓	1.1b	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))))
✓	1.4b	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
✓	23.8b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c)))

series29.0ms (0.5%)

Counts

4 → 96

Calls

36 calls:

Time	Variable		Point	Expression
2.0ms	c	@	-inf	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c)))
2.0ms	b	@	inf	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))
1.0ms	a	@	inf	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))
1.0ms	c	@	inf	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c)))
1.0ms	b	@	0	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c)))

rewrite90.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

248×	`expm1-udef_binary64`
248×	`log1p-udef_binary64`
156×	`add-sqr-sqrt_binary64`
150×	`*-un-lft-identity_binary64`
150×	`pow1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	74
1	302	62
2	4494	62

Stop Event

1×	node limit

Counts

4 → 158

Calls

Call 1

Inputs
(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c)))
(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))) (cbrt.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3))))) (cbrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -3))) 1/4) (pow.f64 (fma.f64 b b (.f64 c (.f64 a -3))) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 b b (.f64 c (.f64 a -3))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/2) (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))) 2) 1/2) (pow.f64 (cbrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (pow.f64 b 6) (.f64 27 (pow.f64 (.f64 a c) 3)))) (sqrt.f64 (+.f64 (pow.f64 b 4) (.f64 (.f64 3 (.f64 a c)) (fma.f64 b b (.f64 3 (.f64 a c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (pow.f64 b 4) (pow.f64 (.f64 3 (.f64 a c)) 2))) (sqrt.f64 (fma.f64 b b (.f64 3 (.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 b b (.f64 c (.f64 a -3))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -3))) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -3))) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -3))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 b b (.f64 c (.f64 a -3)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -3))))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 b b) (.f64 c (.f64 a -3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 b b) (.f64 (.f64 c (.f64 a -3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 b b) (+.f64 (.f64 c (.f64 a -3)) (+.f64 (.f64 c (.f64 a -3)) (.f64 3 (.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 b b (.f64 c (.f64 a -3))) (+.f64 (.f64 c (.f64 a -3)) (.f64 3 (.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 b b (.f64 c (.f64 a -3))) (fma.f64 (neg.f64 (.f64 a c)) 3 (.f64 3 (.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 b b (.f64 c (.f64 a -3))) (fma.f64 (.f64 a -3) c (.f64 3 (.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 b b (.f64 c (.f64 a -3))) (fma.f64 (.f64 c (.f64 a -3)) 1 (.f64 3 (.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 b b (.f64 c (.f64 a -3))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 3 (.f64 a c)))) (pow.f64 (cbrt.f64 (.f64 3 (.f64 a c))) 2) (.f64 3 (.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 b b (.f64 c (.f64 a -3))) (fma.f64 (neg.f64 (sqrt.f64 (.f64 3 (.f64 a c)))) (sqrt.f64 (.f64 3 (.f64 a c))) (.f64 3 (.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 b b (.f64 c (.f64 a -3))) (.f64 (+.f64 (.f64 c (.f64 a -3)) (.f64 3 (.f64 a c))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 b b (.f64 c (.f64 a -3))) (+.f64 (+.f64 (.f64 c (.f64 a -3)) (.f64 3 (.f64 a c))) (+.f64 (.f64 c (.f64 a -3)) (.f64 3 (.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (.f64 c (.f64 a -3)) (.f64 3 (.f64 a c))) (fma.f64 b b (.f64 c (.f64 a -3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 c (.f64 a -3)) (.f64 b b))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 b b (.f64 c (.f64 a -3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))) (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 b b (.f64 c (.f64 a -3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))) (pow.f64 (cbrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))) (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3))))) (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))) 2) (cbrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -3))) 1/4) (.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -3))) 1/4) (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (pow.f64 b 6) (.f64 27 (pow.f64 (.f64 a c) 3))) (/.f64 1 (+.f64 (pow.f64 b 4) (.f64 (.f64 3 (.f64 a c)) (fma.f64 b b (.f64 3 (.f64 a c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (pow.f64 b 4) (pow.f64 (.f64 3 (.f64 a c)) 2)) (/.f64 1 (fma.f64 b b (.f64 3 (.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))) (pow.f64 (fma.f64 b b (.f64 c (.f64 a -3))) 1/4)) (pow.f64 (fma.f64 b b (.f64 c (.f64 a -3))) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 b (sqrt.f64 (.f64 3 (.f64 a c)))) (-.f64 b (sqrt.f64 (.f64 3 (.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))) (cbrt.f64 (fma.f64 b b (.f64 c (.f64 a -3))))) (cbrt.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 b 4) (.f64 (.f64 3 (.f64 a c)) (fma.f64 b b (.f64 3 (.f64 a c))))) (-.f64 (pow.f64 b 6) (.f64 27 (pow.f64 (.f64 a c) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 b b (.f64 3 (.f64 a c))) (-.f64 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b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3))))) (/.f64 1/3 a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3))))) 3) (pow.f64 (.f64 3 a) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3))))) (/.f64 1/3 a))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3))))) (/.f64 1/3 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3))))) (/.f64 1/3 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -3))))) (/.f64 1/3 a))) 1))))))

simplify57.0ms (1%)

Algorithm

1×	egg-herbie

Rules

801×	`fma-def_binary64`
689×	`associate-/l*_binary64`
625×	`associate-/r*_binary64`
168×	`associate-/r/_binary64`
107×	`unswap-sqr_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	176	2384
1	542	2300
2	1960	2222

Stop Event

1×	node limit

Counts

254 → 240

Calls

Call 1

Inputs
(sqrt.f64 (neg.f64 (.f64 3 (.f64 c a))))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 b 2) (sqrt.f64 (neg.f64 (.f64 3 (.f64 c a)))))) (sqrt.f64 (neg.f64 (.f64 3 (*.f64 c a)))))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 (neg.f64 (.f64 3 (.f64 c a)))) 3))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 b 2) (sqrt.f64 (neg.f64 (.f64 3 (.f64 c a)))))) (sqrt.f64 (neg.f64 (.f64 3 (.f64 c a))))))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 (neg.f64 (.f64 3 (.f64 c a)))) 3))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 b 2) (sqrt.f64 (neg.f64 (.f64 3 (.f64 c a)))))) (+.f64 (sqrt.f64 (neg.f64 (.f64 3 (.f64 c a)))) (.f64 1/16 (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 (neg.f64 (.f64 3 (*.f64 c a)))) 5))))))
b
(+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) b)
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) b))
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 -27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) b)))
(*.f64 -1 b)
(+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (*.f64 -1 b))
(+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -1 b)))
(+.f64 (.f64 27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -1 b))))
b
(+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) b)
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) b))
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 -27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) b)))
b
(+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) b)
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) b))
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 -27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) b)))
(.f64 -3 (.f64 c a))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(pow.f64 b 2)
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(pow.f64 b 2)
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(pow.f64 b 2)
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(.f64 -3 (.f64 c a))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(.f64 -3 (.f64 c a))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(pow.f64 b 2)
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(.f64 -3 (.f64 c a))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(.f64 -3 (.f64 c a))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(sqrt.f64 (neg.f64 (.f64 3 (.f64 c a))))
(+.f64 (sqrt.f64 (neg.f64 (.f64 3 (.f64 c a)))) (*.f64 -1 b))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 b 2) (sqrt.f64 (neg.f64 (.f64 3 (.f64 c a)))))) (+.f64 (sqrt.f64 (neg.f64 (.f64 3 (.f64 c a)))) (.f64 -1 b)))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 (neg.f64 (.f64 3 (.f64 c a)))) 3))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 b 2) (sqrt.f64 (neg.f64 (.f64 3 (.f64 c a)))))) (+.f64 (sqrt.f64 (neg.f64 (.f64 3 (.f64 c a)))) (*.f64 -1 b))))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 -3/2 (/.f64 (.f64 c a) b)))
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (.f64 -27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)))))
(+.f64 (.f64 -1/2 (/.f64 (+.f64 (pow.f64 (.f64 -9/8 (.f64 (pow.f64 c 2) (pow.f64 a 2))) 2) (.f64 81/16 (.f64 (pow.f64 c 4) (pow.f64 a 4)))) (pow.f64 b 7))) (+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (.f64 -27/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
(*.f64 -2 b)
(+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (*.f64 -2 b))
(+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -2 b)))
(+.f64 (.f64 27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -2 b))))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 -3/2 (/.f64 (.f64 c a) b)))
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (.f64 -27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)))))
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 a 4) (+.f64 (.f64 81/16 (/.f64 (pow.f64 c 4) (pow.f64 b 6))) (pow.f64 (.f64 -9/8 (/.f64 (pow.f64 c 2) (pow.f64 b 3))) 2))) b)) (.f64 -27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 -3/2 (/.f64 (.f64 c a) b)))
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (.f64 -27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)))))
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 c 4) (+.f64 (.f64 81/16 (/.f64 (pow.f64 a 4) (pow.f64 b 6))) (pow.f64 (.f64 -9/8 (/.f64 (pow.f64 a 2) (pow.f64 b 3))) 2))) b)) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (.f64 -27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
(.f64 1/3 (/.f64 (sqrt.f64 (neg.f64 (.f64 3 (*.f64 c a)))) a))
(+.f64 (.f64 -1/3 (/.f64 b a)) (.f64 1/3 (/.f64 (sqrt.f64 (neg.f64 (.f64 3 (.f64 c a)))) a)))
(+.f64 (.f64 -1/3 (/.f64 b a)) (+.f64 (.f64 1/3 (/.f64 (sqrt.f64 (neg.f64 (.f64 3 (.f64 c a)))) a)) (.f64 1/6 (/.f64 (pow.f64 b 2) (.f64 a (sqrt.f64 (neg.f64 (.f64 3 (.f64 c a)))))))))
(+.f64 (.f64 -1/3 (/.f64 b a)) (+.f64 (.f64 1/3 (/.f64 (sqrt.f64 (neg.f64 (.f64 3 (.f64 c a)))) a)) (+.f64 (.f64 -1/24 (/.f64 (pow.f64 b 4) (.f64 a (pow.f64 (sqrt.f64 (neg.f64 (.f64 3 (.f64 c a)))) 3)))) (.f64 1/6 (/.f64 (pow.f64 b 2) (.f64 a (sqrt.f64 (neg.f64 (.f64 3 (.f64 c a))))))))))
(*.f64 -1/2 (/.f64 c b))
(+.f64 (.f64 -1/2 (/.f64 c b)) (.f64 -3/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))))
(+.f64 (.f64 -9/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (+.f64 (.f64 -1/2 (/.f64 c b)) (.f64 -3/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)))))
(+.f64 (.f64 -9/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (+.f64 (.f64 -1/6 (/.f64 (+.f64 (pow.f64 (.f64 -9/8 (.f64 (pow.f64 c 2) (pow.f64 a 2))) 2) (.f64 81/16 (.f64 (pow.f64 c 4) (pow.f64 a 4)))) (.f64 a (pow.f64 b 7)))) (+.f64 (.f64 -1/2 (/.f64 c b)) (.f64 -3/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))))))
(*.f64 -2/3 (/.f64 b a))
(+.f64 (.f64 -2/3 (/.f64 b a)) (.f64 1/2 (/.f64 c b)))
(+.f64 (.f64 -2/3 (/.f64 b a)) (+.f64 (.f64 1/2 (/.f64 c b)) (.f64 3/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3)))))
(+.f64 (.f64 -2/3 (/.f64 b a)) (+.f64 (.f64 9/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (+.f64 (.f64 1/2 (/.f64 c b)) (.f64 3/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))))))
(*.f64 -1/2 (/.f64 c b))
(+.f64 (.f64 -1/2 (/.f64 c b)) (.f64 -3/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))))
(+.f64 (.f64 -9/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (+.f64 (.f64 -1/2 (/.f64 c b)) (.f64 -3/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)))))
(+.f64 (.f64 -1/6 (/.f64 (.f64 (pow.f64 a 3) (+.f64 (.f64 81/16 (/.f64 (pow.f64 c 4) (pow.f64 b 6))) (pow.f64 (.f64 -9/8 (/.f64 (pow.f64 c 2) (pow.f64 b 3))) 2))) b)) (+.f64 (.f64 -9/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (+.f64 (.f64 -1/2 (/.f64 c b)) (.f64 -3/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))))))
(*.f64 -1/2 (/.f64 c b))
(+.f64 (.f64 -1/2 (/.f64 c b)) (.f64 -3/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))))
(+.f64 (.f64 -9/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (+.f64 (.f64 -1/2 (/.f64 c b)) (.f64 -3/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)))))
(+.f64 (.f64 -1/6 (/.f64 (.f64 (pow.f64 c 4) (+.f64 (.f64 81/16 (/.f64 (pow.f64 a 4) (pow.f64 b 6))) (pow.f64 (.f64 -9/8 (/.f64 (pow.f64 a 2) (pow.f64 b 3))) 2))) (.f64 a b))) (+.f64 (.f64 -9/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (+.f64 (.f64 -1/2 (/.f64 c b)) (.f64 -3/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))))))

Outputs
(sqrt.f64 (neg.f64 (.f64 3 (.f64 c a))))
(sqrt.f64 (.f64 (.f64 c a) -3))
(sqrt.f64 (.f64 a (.f64 c -3)))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 b 2) (sqrt.f64 (neg.f64 (.f64 3 (.f64 c a)))))) (sqrt.f64 (neg.f64 (.f64 3 (*.f64 c a)))))
(fma.f64 1/2 (/.f64 (.f64 b b) (sqrt.f64 (.f64 (.f64 c a) -3))) (sqrt.f64 (.f64 (*.f64 c a) -3)))
(fma.f64 1/2 (/.f64 (.f64 b b) (sqrt.f64 (.f64 a (.f64 c -3)))) (sqrt.f64 (.f64 a (*.f64 c -3))))
(fma.f64 1/2 (/.f64 b (/.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b)) (sqrt.f64 (.f64 a (.f64 c -3))))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 (neg.f64 (.f64 3 (.f64 c a)))) 3))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 b 2) (sqrt.f64 (neg.f64 (.f64 3 (.f64 c a)))))) (sqrt.f64 (neg.f64 (.f64 3 (.f64 c a))))))
(fma.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 (.f64 (.f64 c a) -3)) 3)) (fma.f64 1/2 (/.f64 (.f64 b b) (sqrt.f64 (.f64 (.f64 c a) -3))) (sqrt.f64 (.f64 (*.f64 c a) -3))))
(fma.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 (.f64 a (.f64 c -3))) 3)) (fma.f64 1/2 (/.f64 (.f64 b b) (sqrt.f64 (.f64 a (.f64 c -3)))) (sqrt.f64 (.f64 a (*.f64 c -3)))))
(fma.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 (.f64 a (.f64 c -3))) 3)) (fma.f64 1/2 (/.f64 b (/.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b)) (sqrt.f64 (.f64 a (.f64 c -3)))))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 (neg.f64 (.f64 3 (.f64 c a)))) 3))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 b 2) (sqrt.f64 (neg.f64 (.f64 3 (.f64 c a)))))) (+.f64 (sqrt.f64 (neg.f64 (.f64 3 (.f64 c a)))) (.f64 1/16 (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 (neg.f64 (.f64 3 (*.f64 c a)))) 5))))))
(fma.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 (.f64 (.f64 c a) -3)) 3)) (+.f64 (fma.f64 1/2 (/.f64 (.f64 b b) (sqrt.f64 (.f64 (.f64 c a) -3))) (sqrt.f64 (.f64 (.f64 c a) -3))) (.f64 1/16 (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 (.f64 (.f64 c a) -3)) 5)))))
(fma.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 (.f64 a (.f64 c -3))) 3)) (fma.f64 1/2 (/.f64 (.f64 b b) (sqrt.f64 (.f64 a (.f64 c -3)))) (fma.f64 1/16 (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 (.f64 a (.f64 c -3))) 5)) (sqrt.f64 (.f64 a (*.f64 c -3))))))
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(+.f64 (.f64 -9/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (+.f64 (.f64 -1/2 (/.f64 c b)) (.f64 -3/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)))))
(fma.f64 -9/16 (/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5)) (fma.f64 -1/2 (/.f64 c b) (.f64 -3/8 (/.f64 (.f64 a (*.f64 c c)) (pow.f64 b 3)))))
(fma.f64 -9/16 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a a)) (fma.f64 -1/2 (/.f64 c b) (/.f64 -3/8 (/.f64 (pow.f64 b 3) (.f64 a (.f64 c c))))))
(fma.f64 -3/8 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a) (fma.f64 -1/2 (/.f64 c b) (.f64 -9/16 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a)))))
(+.f64 (.f64 -1/6 (/.f64 (.f64 (pow.f64 a 3) (+.f64 (.f64 81/16 (/.f64 (pow.f64 c 4) (pow.f64 b 6))) (pow.f64 (.f64 -9/8 (/.f64 (pow.f64 c 2) (pow.f64 b 3))) 2))) b)) (+.f64 (.f64 -9/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (+.f64 (.f64 -1/2 (/.f64 c b)) (.f64 -3/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))))))
(fma.f64 -1/6 (/.f64 (pow.f64 a 3) (/.f64 b (fma.f64 81/16 (/.f64 (pow.f64 c 4) (pow.f64 b 6)) (pow.f64 (.f64 -9/8 (/.f64 (.f64 c c) (pow.f64 b 3))) 2)))) (fma.f64 -9/16 (/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5)) (fma.f64 -1/2 (/.f64 c b) (.f64 -3/8 (/.f64 (.f64 a (*.f64 c c)) (pow.f64 b 3))))))
(fma.f64 -1/6 (.f64 (/.f64 (pow.f64 a 3) b) (fma.f64 81/16 (/.f64 (pow.f64 c 4) (pow.f64 b 6)) (.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 6)) 81/64))) (fma.f64 -9/16 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a a)) (fma.f64 -1/2 (/.f64 c b) (/.f64 -3/8 (/.f64 (pow.f64 b 3) (.f64 a (.f64 c c)))))))
(fma.f64 -1/6 (.f64 (/.f64 (pow.f64 a 3) b) (.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 6)) 405/64)) (fma.f64 -3/8 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a) (fma.f64 -1/2 (/.f64 c b) (.f64 -9/16 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a))))))
(*.f64 -1/2 (/.f64 c b))
(+.f64 (.f64 -1/2 (/.f64 c b)) (.f64 -3/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))))
(fma.f64 -1/2 (/.f64 c b) (.f64 -3/8 (/.f64 (.f64 a (*.f64 c c)) (pow.f64 b 3))))
(fma.f64 -1/2 (/.f64 c b) (/.f64 -3/8 (/.f64 (pow.f64 b 3) (.f64 a (.f64 c c)))))
(fma.f64 -1/2 (/.f64 c b) (/.f64 (.f64 -3/8 (.f64 c c)) (/.f64 (pow.f64 b 3) a)))
(+.f64 (.f64 -9/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (+.f64 (.f64 -1/2 (/.f64 c b)) (.f64 -3/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)))))
(fma.f64 -9/16 (/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5)) (fma.f64 -1/2 (/.f64 c b) (.f64 -3/8 (/.f64 (.f64 a (*.f64 c c)) (pow.f64 b 3)))))
(fma.f64 -9/16 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a a)) (fma.f64 -1/2 (/.f64 c b) (/.f64 -3/8 (/.f64 (pow.f64 b 3) (.f64 a (.f64 c c))))))
(fma.f64 -3/8 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a) (fma.f64 -1/2 (/.f64 c b) (.f64 -9/16 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a)))))
(+.f64 (.f64 -1/6 (/.f64 (.f64 (pow.f64 c 4) (+.f64 (.f64 81/16 (/.f64 (pow.f64 a 4) (pow.f64 b 6))) (pow.f64 (.f64 -9/8 (/.f64 (pow.f64 a 2) (pow.f64 b 3))) 2))) (.f64 a b))) (+.f64 (.f64 -9/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (+.f64 (.f64 -1/2 (/.f64 c b)) (.f64 -3/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))))))
(fma.f64 -1/6 (/.f64 (.f64 (pow.f64 c 4) (fma.f64 81/16 (/.f64 (pow.f64 a 4) (pow.f64 b 6)) (pow.f64 (.f64 -9/8 (/.f64 (.f64 a a) (pow.f64 b 3))) 2))) (.f64 a b)) (fma.f64 -9/16 (/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5)) (fma.f64 -1/2 (/.f64 c b) (.f64 -3/8 (/.f64 (.f64 a (*.f64 c c)) (pow.f64 b 3))))))
(fma.f64 -1/6 (.f64 (/.f64 (fma.f64 81/16 (/.f64 (pow.f64 a 4) (pow.f64 b 6)) (.f64 (/.f64 (pow.f64 a 4) (pow.f64 b 6)) 81/64)) a) (/.f64 (pow.f64 c 4) b)) (fma.f64 -9/16 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a a)) (fma.f64 -1/2 (/.f64 c b) (/.f64 -3/8 (/.f64 (pow.f64 b 3) (.f64 a (.f64 c c)))))))
(fma.f64 -1/6 (.f64 (/.f64 (.f64 (/.f64 (pow.f64 a 4) (pow.f64 b 6)) 405/64) a) (/.f64 (pow.f64 c 4) b)) (fma.f64 -3/8 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a) (fma.f64 -1/2 (/.f64 c b) (.f64 -9/16 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a))))))

prune220.0ms (3.8%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	232	8	240
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	232	10	242

Error

7.2b

Counts

242 → 10

Alt Table

Status	Error	Program
	57.7b	(/.f64 (+.f64 (neg.f64 b) (fma.f64 -3/2 (.f64 (/.f64 c b) a) b)) (.f64 3 a))
	47.1b	(/.f64 (/.f64 (-.f64 (.f64 b b) (fma.f64 b b (.f64 c (.f64 a -3)))) (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))))) (.f64 3 a))
	46.0b	(fma.f64 1/2 (/.f64 c b) (*.f64 (/.f64 b a) -2/3))
	40.7b	(*.f64 -1/2 (/.f64 c b))
	43.9b	(.f64 1/3 (/.f64 (sqrt.f64 (neg.f64 (.f64 3 (*.f64 c a)))) a))
	46.8b	(.f64 (.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3))))) 1/3) (/.f64 1 a))
▶	35.0b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -3)))) b) (/.f64 1/3 a))
	45.8b	(/.f64 (+.f64 (neg.f64 b) (neg.f64 b)) (*.f64 3 a))
✓	35.0b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))
	45.8b	(/.f64 -2/3 (/.f64 a b))

Compiler

Compiled 6681 to 4207 computations (37% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 1/3 a)
✓	1.1b	(-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (.f64 c -3)))) b)
✓	1.7b	(fma.f64 b b (.f64 a (.f64 c -3)))
✓	23.8b	(sqrt.f64 (fma.f64 b b (.f64 a (.f64 c -3))))

series18.0ms (0.3%)

Counts

4 → 76

Calls

30 calls:

Time	Variable		Point	Expression
5.0ms	a	@	0	(sqrt.f64 (fma.f64 b b (.f64 a (.f64 c -3))))
1.0ms	b	@	0	(sqrt.f64 (fma.f64 b b (.f64 a (.f64 c -3))))
1.0ms	a	@	inf	(sqrt.f64 (fma.f64 b b (.f64 a (.f64 c -3))))
0.0ms	a	@	0	(/.f64 1/3 a)
0.0ms	b	@	0	(-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (.f64 c -3)))) b)

rewrite76.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

737×	`prod-diff_binary64`
230×	`log1p-udef_binary64`
132×	`add-sqr-sqrt_binary64`
125×	`*-un-lft-identity_binary64`
125×	`pow1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	44
1	260	42
2	3284	42

Stop Event

1×	node limit

Counts

4 → 138

Calls

Call 1

Inputs
(sqrt.f64 (fma.f64 b b (.f64 a (.f64 c -3))))
(fma.f64 b b (.f64 a (.f64 c -3)))
(-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (.f64 c -3)))) b)
(/.f64 1/3 a)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -3)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 b b (.f64 a (.f64 c -3)))) (cbrt.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -3))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -3))))) (cbrt.f64 (fma.f64 b b (.f64 a (.f64 c -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (fma.f64 b b (.f64 a (.f64 c -3))) 1/4) (pow.f64 (fma.f64 b b (.f64 a (.f64 c -3))) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 b b (.f64 a (.f64 c -3)))) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 b b (.f64 a (.f64 c -3))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/2) (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 b b (.f64 a (.f64 c -3)))) 2) 1/2) (pow.f64 (cbrt.f64 (fma.f64 b b (.f64 a (.f64 c -3)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 b b (.f64 a (.f64 c -3))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -3))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 b b (.f64 a (.f64 c -3))) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 b b (.f64 a (.f64 c -3))) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -3))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 b b (.f64 a (.f64 c -3))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -3))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -3))))))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -3))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 b b (.f64 a (.f64 c -3)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -3))))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 a (.f64 c -3)) (.f64 b b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 b b) (.f64 a (.f64 c -3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 b b) 1) (.f64 a (.f64 c -3)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 b b (.f64 a (.f64 c -3))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 b b (.f64 a (.f64 c -3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -3)))) (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 b b (.f64 a (.f64 c -3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 b b (.f64 a (.f64 c -3)))) (pow.f64 (cbrt.f64 (fma.f64 b b (.f64 a (.f64 c -3)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 b b (.f64 a (.f64 c -3)))) (.f64 (cbrt.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -3))))) (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -3))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 b b (.f64 a (.f64 c -3)))) 2) (cbrt.f64 (fma.f64 b b (.f64 a (.f64 c -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (fma.f64 b b (.f64 a (.f64 c -3))) 1/4) (.f64 (pow.f64 (fma.f64 b b (.f64 a (.f64 c -3))) 1/4) (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -3))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -3)))) (pow.f64 (fma.f64 b b (.f64 a (.f64 c -3))) 1/4)) (pow.f64 (fma.f64 b b (.f64 a (.f64 c -3))) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -3)))) (cbrt.f64 (fma.f64 b b (.f64 a (.f64 c -3))))) (cbrt.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 b b) 3) (pow.f64 (.f64 a (.f64 c -3)) 3)) (+.f64 (.f64 (.f64 b b) (.f64 b b)) (-.f64 (pow.f64 (.f64 a (.f64 c -3)) 2) (.f64 (.f64 b b) (.f64 a (.f64 c -3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (.f64 b b) (.f64 b b)) (pow.f64 (.f64 a (.f64 c -3)) 2)) (-.f64 (.f64 b b) (.f64 a (.f64 c -3))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 b b (.f64 a (.f64 c -3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -3)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 b b (.f64 a (.f64 c -3))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 b b (.f64 a (.f64 c -3))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 b b (.f64 a (.f64 c -3)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 b b (.f64 a (.f64 c -3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 b b (.f64 a (.f64 c -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 b b (.f64 a (.f64 c -3))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 b b (.f64 a (.f64 c -3))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 b b (.f64 a (.f64 c -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 b b (.f64 a (.f64 c -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 b b (.f64 a (.f64 c -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 b b (.f64 a (.f64 c -3)))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -3)))) (neg.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -3)))) (.f64 (neg.f64 b) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -3)))) b) (fma.f64 (neg.f64 b) 1 b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -3)))) b) (fma.f64 (neg.f64 (cbrt.f64 b)) (pow.f64 (cbrt.f64 b) 2) b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -3)))) b) (fma.f64 (neg.f64 (sqrt.f64 b)) (sqrt.f64 b) b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -3)))) b) (fma.f64 -1 b b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -3)))) b) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b) b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 b) (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -3)))) 1 (neg.f64 b)) (fma.f64 (neg.f64 b) 1 b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -3)))) 1 (neg.f64 b)) (fma.f64 (neg.f64 (cbrt.f64 b)) (pow.f64 (cbrt.f64 b) 2) b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -3)))) 1 (neg.f64 b)) (fma.f64 (neg.f64 (sqrt.f64 b)) (sqrt.f64 b) b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -3)))) 1 (neg.f64 b)) (fma.f64 -1 b b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -3)))) 1 (neg.f64 b)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b) b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (cbrt.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -3))))) 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1/3 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/3 (/.f64 1 a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1/3 a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 1/3 a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 1/3 a)) (cbrt.f64 (/.f64 1/9 (.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 1/9 (.f64 a a))) (cbrt.f64 (/.f64 1/3 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 1/3 a)) (sqrt.f64 (/.f64 1/3 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1/3 (/.f64 1 (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 a) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/3 a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1/3 a) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1/3 a)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 1/3 a)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 a 3) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1/9 (.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1/3 a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1/3 a))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1/3 a) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1/3 a)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1/3 a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 1/3 a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 1/3 a)) 1))))))

simplify48.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

749×	`times-frac_binary64`
584×	`associate-l_binary64`
504×	`fma-def_binary64`
428×	`associate-/l*_binary64`
360×	`associate-/r*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	114	1665
1	342	1594
2	1192	1555

Stop Event

1×	node limit

Counts

214 → 192

Calls

Call 1

Inputs
(sqrt.f64 (.f64 -3 (.f64 c a)))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 b 2) (sqrt.f64 (.f64 -3 (.f64 c a))))) (sqrt.f64 (.f64 -3 (*.f64 c a))))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 3))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 b 2) (sqrt.f64 (.f64 -3 (.f64 c a))))) (sqrt.f64 (.f64 -3 (.f64 c a)))))
(+.f64 (.f64 1/16 (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 5))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 3))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 b 2) (sqrt.f64 (.f64 -3 (.f64 c a))))) (sqrt.f64 (.f64 -3 (*.f64 c a))))))
b
(+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) b)
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) b))
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 -27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) b)))
(*.f64 -1 b)
(+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (*.f64 -1 b))
(+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -1 b)))
(+.f64 (.f64 27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -1 b))))
b
(+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) b)
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) b))
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 -27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) b)))
b
(+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) b)
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) b))
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 -27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) b)))
(.f64 -3 (.f64 c a))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(pow.f64 b 2)
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(pow.f64 b 2)
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(pow.f64 b 2)
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(.f64 -3 (.f64 c a))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(.f64 -3 (.f64 c a))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(pow.f64 b 2)
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(.f64 -3 (.f64 c a))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(.f64 -3 (.f64 c a))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(sqrt.f64 (.f64 -3 (.f64 c a)))
(+.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) (*.f64 -1 b))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 b 2) (sqrt.f64 (.f64 -3 (.f64 c a))))) (+.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) (.f64 -1 b)))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 3))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 b 2) (sqrt.f64 (.f64 -3 (.f64 c a))))) (+.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) (*.f64 -1 b))))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 -3/2 (/.f64 (.f64 c a) b)))
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (.f64 -27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)))))
(+.f64 (.f64 -1/2 (/.f64 (+.f64 (pow.f64 (.f64 -9/8 (.f64 (pow.f64 c 2) (pow.f64 a 2))) 2) (.f64 81/16 (.f64 (pow.f64 c 4) (pow.f64 a 4)))) (pow.f64 b 7))) (+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (.f64 -27/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
(*.f64 -2 b)
(+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (*.f64 -2 b))
(+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -2 b)))
(+.f64 (.f64 27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -2 b))))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 -3/2 (/.f64 (.f64 c a) b)))
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (.f64 -27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)))))
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 a 4) (+.f64 (.f64 81/16 (/.f64 (pow.f64 c 4) (pow.f64 b 6))) (pow.f64 (.f64 -9/8 (/.f64 (pow.f64 c 2) (pow.f64 b 3))) 2))) b)) (.f64 -27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 -3/2 (/.f64 (.f64 c a) b)))
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (.f64 -27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)))))
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 c 4) (+.f64 (.f64 81/16 (/.f64 (pow.f64 a 4) (pow.f64 b 6))) (pow.f64 (.f64 -9/8 (/.f64 (pow.f64 a 2) (pow.f64 b 3))) 2))) b)) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (.f64 -27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))

Outputs
(sqrt.f64 (.f64 -3 (.f64 c a)))
(sqrt.f64 (.f64 c (.f64 a -3)))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 b 2) (sqrt.f64 (.f64 -3 (.f64 c a))))) (sqrt.f64 (.f64 -3 (*.f64 c a))))
(fma.f64 1/2 (/.f64 (.f64 b b) (sqrt.f64 (.f64 -3 (.f64 c a)))) (sqrt.f64 (.f64 -3 (*.f64 c a))))
(fma.f64 1/2 (/.f64 (.f64 b b) (sqrt.f64 (.f64 c (.f64 a -3)))) (sqrt.f64 (.f64 c (*.f64 a -3))))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 3))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 b 2) (sqrt.f64 (.f64 -3 (.f64 c a))))) (sqrt.f64 (.f64 -3 (.f64 c a)))))
(fma.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 3)) (fma.f64 1/2 (/.f64 (.f64 b b) (sqrt.f64 (.f64 -3 (.f64 c a)))) (sqrt.f64 (.f64 -3 (*.f64 c a)))))
(fma.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 (.f64 c (.f64 a -3))) 3)) (fma.f64 1/2 (/.f64 (.f64 b b) (sqrt.f64 (.f64 c (.f64 a -3)))) (sqrt.f64 (.f64 c (*.f64 a -3)))))
(+.f64 (.f64 1/16 (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 5))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 3))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 b 2) (sqrt.f64 (.f64 -3 (.f64 c a))))) (sqrt.f64 (.f64 -3 (*.f64 c a))))))
(fma.f64 1/16 (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 5)) (fma.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 3)) (fma.f64 1/2 (/.f64 (.f64 b b) (sqrt.f64 (.f64 -3 (.f64 c a)))) (sqrt.f64 (.f64 -3 (*.f64 c a))))))
(fma.f64 1/16 (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 (.f64 c (.f64 a -3))) 5)) (fma.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 (.f64 c (.f64 a -3))) 3)) (fma.f64 1/2 (/.f64 (.f64 b b) (sqrt.f64 (.f64 c (.f64 a -3)))) (sqrt.f64 (.f64 c (*.f64 a -3))))))
b
(+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) b)
(fma.f64 -3/2 (/.f64 c (/.f64 b a)) b)
(fma.f64 -3/2 (*.f64 (/.f64 c b) a) b)
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) b))
(fma.f64 -9/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (fma.f64 -3/2 (/.f64 c (/.f64 b a)) b))
(fma.f64 -9/8 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a a)) (fma.f64 -3/2 (.f64 (/.f64 c b) a) b))
(fma.f64 -3/2 (.f64 (/.f64 c b) a) (fma.f64 -9/8 (.f64 (.f64 (/.f64 a (pow.f64 b 3)) a) (.f64 c c)) b))
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 -27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) b)))
(fma.f64 -9/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (fma.f64 -3/2 (/.f64 c (/.f64 b a)) (fma.f64 -27/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) b)))
(fma.f64 -9/8 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a a)) (fma.f64 -3/2 (.f64 (/.f64 c b) a) (fma.f64 -27/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) b)))
(fma.f64 -3/2 (.f64 (/.f64 c b) a) (fma.f64 -9/8 (.f64 (.f64 (/.f64 a (pow.f64 b 3)) a) (.f64 c c)) (fma.f64 -27/16 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) b)))
(*.f64 -1 b)
(neg.f64 b)
(+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (*.f64 -1 b))
(fma.f64 3/2 (/.f64 c (/.f64 b a)) (neg.f64 b))
(fma.f64 (*.f64 (/.f64 c b) a) 3/2 (neg.f64 b))
(-.f64 (.f64 (/.f64 c b) (.f64 a 3/2)) b)
(+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -1 b)))
(fma.f64 3/2 (/.f64 c (/.f64 b a)) (fma.f64 9/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (neg.f64 b)))
(-.f64 (fma.f64 (.f64 (/.f64 c b) a) 3/2 (.f64 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (*.f64 a a)) 9/8)) b)
(-.f64 (fma.f64 (.f64 (.f64 (/.f64 a (pow.f64 b 3)) a) (.f64 c c)) 9/8 (.f64 (/.f64 c b) (*.f64 a 3/2))) b)
(+.f64 (.f64 27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -1 b))))
(fma.f64 27/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (fma.f64 3/2 (/.f64 c (/.f64 b a)) (fma.f64 9/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (neg.f64 b))))
(fma.f64 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) 27/16 (-.f64 (fma.f64 (.f64 (/.f64 c b) a) 3/2 (.f64 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (*.f64 a a)) 9/8)) b))
(-.f64 (fma.f64 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) 27/16 (fma.f64 (.f64 (.f64 (/.f64 a (pow.f64 b 3)) a) (.f64 c c)) 9/8 (.f64 (/.f64 c b) (.f64 a 3/2)))) b)
b
(+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) b)
(fma.f64 -3/2 (/.f64 c (/.f64 b a)) b)
(fma.f64 -3/2 (*.f64 (/.f64 c b) a) b)
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) b))
(fma.f64 -9/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (fma.f64 -3/2 (/.f64 c (/.f64 b a)) b))
(fma.f64 -9/8 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a a)) (fma.f64 -3/2 (.f64 (/.f64 c b) a) b))
(fma.f64 -3/2 (.f64 (/.f64 c b) a) (fma.f64 -9/8 (.f64 (.f64 (/.f64 a (pow.f64 b 3)) a) (.f64 c c)) b))
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 -27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) b)))
(fma.f64 -9/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (fma.f64 -3/2 (/.f64 c (/.f64 b a)) (fma.f64 -27/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) b)))
(fma.f64 -9/8 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a a)) (fma.f64 -3/2 (.f64 (/.f64 c b) a) (fma.f64 -27/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) b)))
(fma.f64 -3/2 (.f64 (/.f64 c b) a) (fma.f64 -9/8 (.f64 (.f64 (/.f64 a (pow.f64 b 3)) a) (.f64 c c)) (fma.f64 -27/16 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) b)))
b
(+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) b)
(fma.f64 -3/2 (/.f64 c (/.f64 b a)) b)
(fma.f64 -3/2 (*.f64 (/.f64 c b) a) b)
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) b))
(fma.f64 -9/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (fma.f64 -3/2 (/.f64 c (/.f64 b a)) b))
(fma.f64 -9/8 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a a)) (fma.f64 -3/2 (.f64 (/.f64 c b) a) b))
(fma.f64 -3/2 (.f64 (/.f64 c b) a) (fma.f64 -9/8 (.f64 (.f64 (/.f64 a (pow.f64 b 3)) a) (.f64 c c)) b))
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 -27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) b)))
(fma.f64 -9/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (fma.f64 -3/2 (/.f64 c (/.f64 b a)) (fma.f64 -27/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) b)))
(fma.f64 -9/8 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a a)) (fma.f64 -3/2 (.f64 (/.f64 c b) a) (fma.f64 -27/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) b)))
(fma.f64 -3/2 (.f64 (/.f64 c b) a) (fma.f64 -9/8 (.f64 (.f64 (/.f64 a (pow.f64 b 3)) a) (.f64 c c)) (fma.f64 -27/16 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) b)))
(.f64 -3 (.f64 c a))
(.f64 c (.f64 a -3))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (.f64 -3 (.f64 c a)) (*.f64 b b))
(fma.f64 -3 (.f64 c a) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (.f64 -3 (.f64 c a)) (*.f64 b b))
(fma.f64 -3 (.f64 c a) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (.f64 -3 (.f64 c a)) (*.f64 b b))
(fma.f64 -3 (.f64 c a) (.f64 b b))
(pow.f64 b 2)
(*.f64 b b)
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (.f64 -3 (.f64 c a)) (*.f64 b b))
(fma.f64 -3 (.f64 c a) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (.f64 -3 (.f64 c a)) (*.f64 b b))
(fma.f64 -3 (.f64 c a) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (.f64 -3 (.f64 c a)) (*.f64 b b))
(fma.f64 -3 (.f64 c a) (.f64 b b))
(pow.f64 b 2)
(*.f64 b b)
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (.f64 -3 (.f64 c a)) (*.f64 b b))
(fma.f64 -3 (.f64 c a) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (.f64 -3 (.f64 c a)) (*.f64 b b))
(fma.f64 -3 (.f64 c a) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (.f64 -3 (.f64 c a)) (*.f64 b b))
(fma.f64 -3 (.f64 c a) (.f64 b b))
(pow.f64 b 2)
(*.f64 b b)
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (.f64 -3 (.f64 c a)) (*.f64 b b))
(fma.f64 -3 (.f64 c a) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (.f64 -3 (.f64 c a)) (*.f64 b b))
(fma.f64 -3 (.f64 c a) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (.f64 -3 (.f64 c a)) (*.f64 b b))
(fma.f64 -3 (.f64 c a) (.f64 b b))
(.f64 -3 (.f64 c a))
(.f64 c (.f64 a -3))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (.f64 -3 (.f64 c a)) (*.f64 b b))
(fma.f64 -3 (.f64 c a) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (.f64 -3 (.f64 c a)) (*.f64 b b))
(fma.f64 -3 (.f64 c a) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (.f64 -3 (.f64 c a)) (*.f64 b b))
(fma.f64 -3 (.f64 c a) (.f64 b b))
(.f64 -3 (.f64 c a))
(.f64 c (.f64 a -3))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (.f64 -3 (.f64 c a)) (*.f64 b b))
(fma.f64 -3 (.f64 c a) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (.f64 -3 (.f64 c a)) (*.f64 b b))
(fma.f64 -3 (.f64 c a) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (.f64 -3 (.f64 c a)) (*.f64 b b))
(fma.f64 -3 (.f64 c a) (.f64 b b))
(pow.f64 b 2)
(*.f64 b b)
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (.f64 -3 (.f64 c a)) (*.f64 b b))
(fma.f64 -3 (.f64 c a) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (.f64 -3 (.f64 c a)) (*.f64 b b))
(fma.f64 -3 (.f64 c a) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (.f64 -3 (.f64 c a)) (*.f64 b b))
(fma.f64 -3 (.f64 c a) (.f64 b b))
(.f64 -3 (.f64 c a))
(.f64 c (.f64 a -3))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (.f64 -3 (.f64 c a)) (*.f64 b b))
(fma.f64 -3 (.f64 c a) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (.f64 -3 (.f64 c a)) (*.f64 b b))
(fma.f64 -3 (.f64 c a) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (.f64 -3 (.f64 c a)) (*.f64 b b))
(fma.f64 -3 (.f64 c a) (.f64 b b))
(.f64 -3 (.f64 c a))
(.f64 c (.f64 a -3))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (.f64 -3 (.f64 c a)) (*.f64 b b))
(fma.f64 -3 (.f64 c a) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (.f64 -3 (.f64 c a)) (*.f64 b b))
(fma.f64 -3 (.f64 c a) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (.f64 -3 (.f64 c a)) (*.f64 b b))
(fma.f64 -3 (.f64 c a) (.f64 b b))
(sqrt.f64 (.f64 -3 (.f64 c a)))
(sqrt.f64 (.f64 c (.f64 a -3)))
(+.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) (*.f64 -1 b))
(+.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) (neg.f64 b))
(-.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b)
(+.f64 (.f64 1/2 (/.f64 (pow.f64 b 2) (sqrt.f64 (.f64 -3 (.f64 c a))))) (+.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) (.f64 -1 b)))
(fma.f64 1/2 (/.f64 (.f64 b b) (sqrt.f64 (.f64 -3 (.f64 c a)))) (+.f64 (sqrt.f64 (.f64 -3 (*.f64 c a))) (neg.f64 b)))
(-.f64 (fma.f64 1/2 (/.f64 (.f64 b b) (sqrt.f64 (.f64 c (.f64 a -3)))) (sqrt.f64 (.f64 c (*.f64 a -3)))) b)
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 3))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 b 2) (sqrt.f64 (.f64 -3 (.f64 c a))))) (+.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) (*.f64 -1 b))))
(fma.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 3)) (fma.f64 1/2 (/.f64 (.f64 b b) (sqrt.f64 (.f64 -3 (.f64 c a)))) (+.f64 (sqrt.f64 (.f64 -3 (*.f64 c a))) (neg.f64 b))))
(fma.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 (.f64 c (.f64 a -3))) 3)) (-.f64 (fma.f64 1/2 (/.f64 (.f64 b b) (sqrt.f64 (.f64 c (.f64 a -3)))) (sqrt.f64 (.f64 c (*.f64 a -3)))) b))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(*.f64 -3/2 (/.f64 c (/.f64 b a)))
(.f64 -3/2 (.f64 (/.f64 c b) a))
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 -3/2 (/.f64 (.f64 c a) b)))
(fma.f64 -9/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (*.f64 -3/2 (/.f64 c (/.f64 b a))))
(fma.f64 -3/2 (.f64 (/.f64 c b) a) (/.f64 (.f64 -9/8 (.f64 c c)) (/.f64 (pow.f64 b 3) (.f64 a a))))
(fma.f64 -3/2 (.f64 (/.f64 c b) a) (.f64 (.f64 (/.f64 a (pow.f64 b 3)) a) (.f64 c (*.f64 c -9/8))))
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (.f64 -27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)))))
(fma.f64 -9/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (fma.f64 -3/2 (/.f64 c (/.f64 b a)) (*.f64 -27/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))))))
(fma.f64 -9/8 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a a)) (fma.f64 -27/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (.f64 -3/2 (*.f64 (/.f64 c b) a))))
(fma.f64 -3/2 (.f64 (/.f64 c b) a) (fma.f64 -27/16 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) (.f64 (.f64 (/.f64 a (pow.f64 b 3)) a) (.f64 c (.f64 c -9/8)))))
(+.f64 (.f64 -1/2 (/.f64 (+.f64 (pow.f64 (.f64 -9/8 (.f64 (pow.f64 c 2) (pow.f64 a 2))) 2) (.f64 81/16 (.f64 (pow.f64 c 4) (pow.f64 a 4)))) (pow.f64 b 7))) (+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (.f64 -27/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
(fma.f64 -1/2 (/.f64 (+.f64 (pow.f64 (.f64 -9/8 (.f64 (.f64 c c) (.f64 a a))) 2) (.f64 81/16 (.f64 (pow.f64 c 4) (pow.f64 a 4)))) (pow.f64 b 7)) (fma.f64 -9/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (fma.f64 -3/2 (/.f64 c (/.f64 b a)) (*.f64 -27/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3)))))))
(fma.f64 -1/2 (/.f64 (fma.f64 81/16 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) 81/64)) (pow.f64 b 7)) (fma.f64 -9/8 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a a)) (fma.f64 -27/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (.f64 -3/2 (.f64 (/.f64 c b) a)))))
(fma.f64 -1/2 (/.f64 (.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) 405/64) (pow.f64 b 7)) (fma.f64 -3/2 (.f64 (/.f64 c b) a) (fma.f64 -27/16 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) (.f64 (.f64 (/.f64 a (pow.f64 b 3)) a) (.f64 c (.f64 c -9/8))))))
(*.f64 -2 b)
(*.f64 b -2)
(+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (*.f64 -2 b))
(fma.f64 3/2 (/.f64 c (/.f64 b a)) (*.f64 b -2))
(fma.f64 b -2 (.f64 (.f64 (/.f64 c b) a) 3/2))
(fma.f64 b -2 (.f64 (/.f64 c b) (.f64 a 3/2)))
(+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -2 b)))
(fma.f64 3/2 (/.f64 c (/.f64 b a)) (fma.f64 9/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (*.f64 b -2)))
(fma.f64 (.f64 (/.f64 c b) a) 3/2 (fma.f64 b -2 (.f64 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (*.f64 a a)) 9/8)))
(fma.f64 (.f64 (.f64 (/.f64 a (pow.f64 b 3)) a) (.f64 c c)) 9/8 (fma.f64 b -2 (.f64 (/.f64 c b) (*.f64 a 3/2))))
(+.f64 (.f64 27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -2 b))))
(fma.f64 27/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (fma.f64 3/2 (/.f64 c (/.f64 b a)) (fma.f64 9/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (*.f64 b -2))))
(fma.f64 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) 27/16 (fma.f64 (.f64 (/.f64 c b) a) 3/2 (fma.f64 b -2 (.f64 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (*.f64 a a)) 9/8))))
(fma.f64 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) 27/16 (fma.f64 (.f64 (.f64 (/.f64 a (pow.f64 b 3)) a) (.f64 c c)) 9/8 (fma.f64 b -2 (.f64 (/.f64 c b) (.f64 a 3/2)))))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(*.f64 -3/2 (/.f64 c (/.f64 b a)))
(.f64 -3/2 (.f64 (/.f64 c b) a))
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 -3/2 (/.f64 (.f64 c a) b)))
(fma.f64 -9/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (*.f64 -3/2 (/.f64 c (/.f64 b a))))
(fma.f64 -3/2 (.f64 (/.f64 c b) a) (/.f64 (.f64 -9/8 (.f64 c c)) (/.f64 (pow.f64 b 3) (.f64 a a))))
(fma.f64 -3/2 (.f64 (/.f64 c b) a) (.f64 (.f64 (/.f64 a (pow.f64 b 3)) a) (.f64 c (*.f64 c -9/8))))
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (.f64 -27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)))))
(fma.f64 -9/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (fma.f64 -3/2 (/.f64 c (/.f64 b a)) (*.f64 -27/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))))))
(fma.f64 -9/8 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a a)) (fma.f64 -27/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (.f64 -3/2 (*.f64 (/.f64 c b) a))))
(fma.f64 -3/2 (.f64 (/.f64 c b) a) (fma.f64 -27/16 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) (.f64 (.f64 (/.f64 a (pow.f64 b 3)) a) (.f64 c (.f64 c -9/8)))))
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 a 4) (+.f64 (.f64 81/16 (/.f64 (pow.f64 c 4) (pow.f64 b 6))) (pow.f64 (.f64 -9/8 (/.f64 (pow.f64 c 2) (pow.f64 b 3))) 2))) b)) (.f64 -27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
(fma.f64 -9/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (fma.f64 -3/2 (/.f64 c (/.f64 b a)) (fma.f64 -1/2 (/.f64 (pow.f64 a 4) (/.f64 b (fma.f64 81/16 (/.f64 (pow.f64 c 4) (pow.f64 b 6)) (pow.f64 (.f64 -9/8 (/.f64 (.f64 c c) (pow.f64 b 3))) 2)))) (*.f64 -27/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3)))))))
(fma.f64 -9/8 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a a)) (fma.f64 -3/2 (.f64 (/.f64 c b) a) (fma.f64 -1/2 (.f64 (/.f64 (pow.f64 a 4) b) (fma.f64 81/16 (/.f64 (pow.f64 c 4) (pow.f64 b 6)) (.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 6)) 81/64))) (*.f64 -27/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3)))))))
(fma.f64 -3/2 (.f64 (/.f64 c b) a) (fma.f64 -9/8 (.f64 (.f64 (/.f64 a (pow.f64 b 3)) a) (.f64 c c)) (fma.f64 -1/2 (.f64 (/.f64 (pow.f64 c 4) b) (.f64 (/.f64 (pow.f64 a 4) (pow.f64 b 6)) 405/64)) (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 (pow.f64 a 3) -27/16)))))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(*.f64 -3/2 (/.f64 c (/.f64 b a)))
(.f64 -3/2 (.f64 (/.f64 c b) a))
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 -3/2 (/.f64 (.f64 c a) b)))
(fma.f64 -9/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (*.f64 -3/2 (/.f64 c (/.f64 b a))))
(fma.f64 -3/2 (.f64 (/.f64 c b) a) (/.f64 (.f64 -9/8 (.f64 c c)) (/.f64 (pow.f64 b 3) (.f64 a a))))
(fma.f64 -3/2 (.f64 (/.f64 c b) a) (.f64 (.f64 (/.f64 a (pow.f64 b 3)) a) (.f64 c (*.f64 c -9/8))))
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (.f64 -27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)))))
(fma.f64 -9/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (fma.f64 -3/2 (/.f64 c (/.f64 b a)) (*.f64 -27/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))))))
(fma.f64 -9/8 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a a)) (fma.f64 -27/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (.f64 -3/2 (*.f64 (/.f64 c b) a))))
(fma.f64 -3/2 (.f64 (/.f64 c b) a) (fma.f64 -27/16 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) (.f64 (.f64 (/.f64 a (pow.f64 b 3)) a) (.f64 c (.f64 c -9/8)))))
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 c 4) (+.f64 (.f64 81/16 (/.f64 (pow.f64 a 4) (pow.f64 b 6))) (pow.f64 (.f64 -9/8 (/.f64 (pow.f64 a 2) (pow.f64 b 3))) 2))) b)) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (.f64 -27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
(fma.f64 -9/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (fma.f64 -3/2 (/.f64 c (/.f64 b a)) (fma.f64 -1/2 (/.f64 (pow.f64 a 4) (/.f64 b (fma.f64 81/16 (/.f64 (pow.f64 c 4) (pow.f64 b 6)) (pow.f64 (.f64 -9/8 (/.f64 (.f64 c c) (pow.f64 b 3))) 2)))) (*.f64 -27/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3)))))))
(fma.f64 -9/8 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a a)) (fma.f64 -3/2 (.f64 (/.f64 c b) a) (fma.f64 -1/2 (.f64 (/.f64 (pow.f64 a 4) b) (fma.f64 81/16 (/.f64 (pow.f64 c 4) (pow.f64 b 6)) (.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 6)) 81/64))) (*.f64 -27/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3)))))))
(fma.f64 -3/2 (.f64 (/.f64 c b) a) (fma.f64 -9/8 (.f64 (.f64 (/.f64 a (pow.f64 b 3)) a) (.f64 c c)) (fma.f64 -1/2 (.f64 (/.f64 (pow.f64 c 4) b) (.f64 (/.f64 (pow.f64 a 4) (pow.f64 b 6)) 405/64)) (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 (pow.f64 a 3) -27/16)))))

prune167.0ms (2.9%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	190	2	192
Fresh	2	6	8
Picked	0	1	1
Done	0	1	1
Total	192	10	202

Error

7.2b

Counts

202 → 10

Alt Table

Status	Error	Program
	45.0b	(.f64 (.f64 -3/2 (*.f64 (/.f64 c b) a)) (/.f64 1/3 a))
✓	35.0b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -3)))) b) (/.f64 1/3 a))
	57.7b	(/.f64 (+.f64 (neg.f64 b) (fma.f64 -3/2 (.f64 (/.f64 c b) a) b)) (.f64 3 a))
	47.1b	(/.f64 (/.f64 (-.f64 (.f64 b b) (fma.f64 b b (.f64 c (.f64 a -3)))) (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))))) (.f64 3 a))
	46.0b	(fma.f64 1/2 (/.f64 c b) (*.f64 (/.f64 b a) -2/3))
▶	40.7b	(*.f64 -1/2 (/.f64 c b))
	46.0b	(.f64 (/.f64 (-.f64 (fma.f64 b b (.f64 a (.f64 c -3))) (.f64 b b)) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -3)))))) (/.f64 1/3 a))
	45.8b	(/.f64 (+.f64 (neg.f64 b) (neg.f64 b)) (*.f64 3 a))
✓	35.0b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))
	45.8b	(/.f64 -2/3 (/.f64 a b))

Compiler

Compiled 5022 to 3201 computations (36.3% saved)

localize3.0ms (0.1%)

prune10.0ms (0.2%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Kept	Total
New	0	0
Fresh	7	7
Picked	1	1
Done	2	2
Total	10	10

Error

7.2b

Counts

10 → 10

Alt Table

Status	Error	Program
▶	45.0b	(.f64 (.f64 -3/2 (*.f64 (/.f64 c b) a)) (/.f64 1/3 a))
✓	35.0b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -3)))) b) (/.f64 1/3 a))
	57.7b	(/.f64 (+.f64 (neg.f64 b) (fma.f64 -3/2 (.f64 (/.f64 c b) a) b)) (.f64 3 a))
	47.1b	(/.f64 (/.f64 (-.f64 (.f64 b b) (fma.f64 b b (.f64 c (.f64 a -3)))) (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))))) (.f64 3 a))
	46.0b	(fma.f64 1/2 (/.f64 c b) (*.f64 (/.f64 b a) -2/3))
✓	40.7b	(*.f64 -1/2 (/.f64 c b))
	46.0b	(.f64 (/.f64 (-.f64 (fma.f64 b b (.f64 a (.f64 c -3))) (.f64 b b)) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -3)))))) (/.f64 1/3 a))
	45.8b	(/.f64 (+.f64 (neg.f64 b) (neg.f64 b)) (*.f64 3 a))
✓	35.0b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))
	45.8b	(/.f64 -2/3 (/.f64 a b))

Compiler

Compiled 298 to 198 computations (33.6% saved)

localize7.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 -3/2 (.f64 (/.f64 c b) a))
	0.3b	(/.f64 1/3 a)
✓	3.7b	(*.f64 (/.f64 c b) a)
✓	10.3b	(.f64 (.f64 -3/2 (*.f64 (/.f64 c b) a)) (/.f64 1/3 a))

series19.0ms (0.3%)

Counts

3 → 108

Calls

27 calls:

Time	Variable		Point	Expression
3.0ms	a	@	0	(.f64 (.f64 -3/2 (*.f64 (/.f64 c b) a)) (/.f64 1/3 a))
2.0ms	b	@	-inf	(.f64 -3/2 (.f64 (/.f64 c b) a))
1.0ms	c	@	0	(.f64 (.f64 -3/2 (*.f64 (/.f64 c b) a)) (/.f64 1/3 a))
1.0ms	c	@	inf	(.f64 (.f64 -3/2 (*.f64 (/.f64 c b) a)) (/.f64 1/3 a))
1.0ms	b	@	inf	(.f64 (.f64 -3/2 (*.f64 (/.f64 c b) a)) (/.f64 1/3 a))

rewrite54.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

643×	`log-prod_binary64`
216×	`expm1-udef_binary64`
216×	`log1p-udef_binary64`
177×	`log-pow_binary64`
133×	`log-div_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	33
1	240	30
2	3133	30

Stop Event

1×	node limit

Counts

3 → 73

Calls

Call 1

Inputs
(.f64 (.f64 -3/2 (*.f64 (/.f64 c b) a)) (/.f64 1/3 a))
(*.f64 (/.f64 c b) a)
(.f64 -3/2 (.f64 (/.f64 c b) a))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (*.f64 (*.f64 (/.f64 c b) a) -1/2) a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (*.f64 (*.f64 (/.f64 c b) a) -1/2) a))) (cbrt.f64 (exp.f64 (/.f64 (*.f64 (*.f64 (/.f64 c b) a) -1/2) a))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (*.f64 (*.f64 (/.f64 c b) a) -1/2) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (*.f64 (*.f64 (/.f64 c b) a) -1/2) a)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (*.f64 (*.f64 (/.f64 c b) a) -1/2) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 (*.f64 (/.f64 c b) a) -1/2) a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a (/.f64 -3/2 (/.f64 b c))) (/.f64 a 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 a (*.f64 (*.f64 (/.f64 c b) a) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (/.f64 c b) a) -1/2) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (*.f64 (/.f64 c b) a) -1/2)) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (*.f64 (/.f64 c b) a) -1/2) 1) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (*.f64 (/.f64 c b) a) -1/2) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (*.f64 (/.f64 c b) a) -1/2) (sqrt.f64 a)) (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/3 (*.f64 a (/.f64 -3/2 (/.f64 b c)))) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 a (/.f64 -3/2 (/.f64 b c))) -1/3) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (*.f64 (/.f64 c b) a) -1/2) a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 (*.f64 (/.f64 c b) a) -1/2) a) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (*.f64 (*.f64 (/.f64 c b) a) -1/2) a)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (*.f64 (*.f64 (/.f64 c b) a) -1/2) a)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (*.f64 (*.f64 (/.f64 c b) a) -1/2) a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (*.f64 (*.f64 (/.f64 c b) a) -1/2) a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 (*.f64 (/.f64 c b) a) -1/2) a))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (*.f64 (*.f64 (/.f64 c b) a) -1/2) a) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 a (/.f64 -3/2 (/.f64 b c))) 3) (pow.f64 (/.f64 1/3 a) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 1/3 a) 3) (pow.f64 (*.f64 a (/.f64 -3/2 (/.f64 b c))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (*.f64 (*.f64 (/.f64 c b) a) -1/2) a)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (*.f64 (*.f64 (/.f64 c b) a) -1/2) a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (*.f64 (*.f64 (/.f64 c b) a) -1/2) a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (*.f64 (/.f64 c b) a) -1/2) a)) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 c b) a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 a) (/.f64 c b))) (cbrt.f64 (pow.f64 (exp.f64 a) (/.f64 c b))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 a) (/.f64 c b)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a) (/.f64 c b)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a) (/.f64 c b)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 c b) a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 c (/.f64 b a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 a (/.f64 b c))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 b (*.f64 c a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 c a) b)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 c a)) (neg.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 c a) 1) b)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 c a) (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 c a) (sqrt.f64 b)) (sqrt.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 c) a) (neg.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a (neg.f64 c)) (neg.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 c b) a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 c b) a) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 c b) a)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 c b) a)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 c b) a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 a) (/.f64 c b)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 c b) a))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 c b) a) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 c b) 3) (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 a 3) (pow.f64 (/.f64 c b) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 c b) a)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 c b) a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 c b) a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 c b) a)) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 a (/.f64 -3/2 (/.f64 b c))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (*.f64 a (/.f64 -3/2 (/.f64 b c))))) (cbrt.f64 (exp.f64 (*.f64 a (/.f64 -3/2 (/.f64 b c))))))) (log.f64 (cbrt.f64 (exp.f64 (*.f64 a (/.f64 -3/2 (/.f64 b c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 a (/.f64 -3/2 (/.f64 b c)))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 a (/.f64 -3/2 (/.f64 b c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 a (/.f64 -3/2 (/.f64 b c))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 c a) -3/2) b)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -3/2 (*.f64 c a)) b)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a (/.f64 -3/2 (/.f64 b c))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 a (/.f64 -3/2 (/.f64 b c))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 a (/.f64 -3/2 (/.f64 b c)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 a (/.f64 -3/2 (/.f64 b c)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 a (/.f64 -3/2 (/.f64 b c))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 a (/.f64 -3/2 (/.f64 b c)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 a (/.f64 -3/2 (/.f64 b c))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 a (/.f64 -3/2 (/.f64 b c))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 a (/.f64 -3/2 (/.f64 b c)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 a (/.f64 -3/2 (/.f64 b c)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 a (/.f64 -3/2 (/.f64 b c)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 a (/.f64 -3/2 (/.f64 b c)))) 1))))))

simplify31.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

18×	`*-commutative_binary64`
17×	`associate-/l*_binary64`
12×	`associate-/r/_binary64`
10×	`associate-r_binary64`
8×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	864
1	20	864
2	37	864
3	68	864
4	99	864
5	110	864

Stop Event

1×

saturated

Counts

181 → 78

Calls

Call 1

Inputs
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(.f64 -3/2 (/.f64 (.f64 c a) b))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(.f64 -3/2 (/.f64 (.f64 c a) b))

Outputs
(*.f64 -1/2 (/.f64 c b))
(/.f64 (*.f64 -1/2 c) b)
(*.f64 -1/2 (/.f64 c b))
(/.f64 (*.f64 -1/2 c) b)
(*.f64 -1/2 (/.f64 c b))
(/.f64 (*.f64 -1/2 c) b)
(*.f64 -1/2 (/.f64 c b))
(/.f64 (*.f64 -1/2 c) b)
(*.f64 -1/2 (/.f64 c b))
(/.f64 (*.f64 -1/2 c) b)
(*.f64 -1/2 (/.f64 c b))
(/.f64 (*.f64 -1/2 c) b)
(*.f64 -1/2 (/.f64 c b))
(/.f64 (*.f64 -1/2 c) b)
(*.f64 -1/2 (/.f64 c b))
(/.f64 (*.f64 -1/2 c) b)
(*.f64 -1/2 (/.f64 c b))
(/.f64 (*.f64 -1/2 c) b)
(*.f64 -1/2 (/.f64 c b))
(/.f64 (*.f64 -1/2 c) b)
(*.f64 -1/2 (/.f64 c b))
(/.f64 (*.f64 -1/2 c) b)
(*.f64 -1/2 (/.f64 c b))
(/.f64 (*.f64 -1/2 c) b)
(*.f64 -1/2 (/.f64 c b))
(/.f64 (*.f64 -1/2 c) b)
(*.f64 -1/2 (/.f64 c b))
(/.f64 (*.f64 -1/2 c) b)
(*.f64 -1/2 (/.f64 c b))
(/.f64 (*.f64 -1/2 c) b)
(*.f64 -1/2 (/.f64 c b))
(/.f64 (*.f64 -1/2 c) b)
(*.f64 -1/2 (/.f64 c b))
(/.f64 (*.f64 -1/2 c) b)
(*.f64 -1/2 (/.f64 c b))
(/.f64 (*.f64 -1/2 c) b)
(*.f64 -1/2 (/.f64 c b))
(/.f64 (*.f64 -1/2 c) b)
(*.f64 -1/2 (/.f64 c b))
(/.f64 (*.f64 -1/2 c) b)
(*.f64 -1/2 (/.f64 c b))
(/.f64 (*.f64 -1/2 c) b)
(*.f64 -1/2 (/.f64 c b))
(/.f64 (*.f64 -1/2 c) b)
(*.f64 -1/2 (/.f64 c b))
(/.f64 (*.f64 -1/2 c) b)
(*.f64 -1/2 (/.f64 c b))
(/.f64 (*.f64 -1/2 c) b)
(*.f64 -1/2 (/.f64 c b))
(/.f64 (*.f64 -1/2 c) b)
(*.f64 -1/2 (/.f64 c b))
(/.f64 (*.f64 -1/2 c) b)
(*.f64 -1/2 (/.f64 c b))
(/.f64 (*.f64 -1/2 c) b)
(*.f64 -1/2 (/.f64 c b))
(/.f64 (*.f64 -1/2 c) b)
(*.f64 -1/2 (/.f64 c b))
(/.f64 (*.f64 -1/2 c) b)
(*.f64 -1/2 (/.f64 c b))
(/.f64 (*.f64 -1/2 c) b)
(*.f64 -1/2 (/.f64 c b))
(/.f64 (*.f64 -1/2 c) b)
(*.f64 -1/2 (/.f64 c b))
(/.f64 (*.f64 -1/2 c) b)
(*.f64 -1/2 (/.f64 c b))
(/.f64 (*.f64 -1/2 c) b)
(*.f64 -1/2 (/.f64 c b))
(/.f64 (*.f64 -1/2 c) b)
(*.f64 -1/2 (/.f64 c b))
(/.f64 (*.f64 -1/2 c) b)
(*.f64 -1/2 (/.f64 c b))
(/.f64 (*.f64 -1/2 c) b)
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(*.f64 (/.f64 c b) a)
(*.f64 c (/.f64 a b))
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(*.f64 (/.f64 c b) a)
(*.f64 c (/.f64 a b))
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(*.f64 (/.f64 c b) a)
(*.f64 c (/.f64 a b))
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(*.f64 (/.f64 c b) a)
(*.f64 c (/.f64 a b))
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(*.f64 (/.f64 c b) a)
(*.f64 c (/.f64 a b))
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(*.f64 (/.f64 c b) a)
(*.f64 c (/.f64 a b))
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(*.f64 (/.f64 c b) a)
(*.f64 c (/.f64 a b))
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(*.f64 (/.f64 c b) a)
(*.f64 c (/.f64 a b))
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(*.f64 (/.f64 c b) a)
(*.f64 c (/.f64 a b))
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(*.f64 (/.f64 c b) a)
(*.f64 c (/.f64 a b))
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(*.f64 (/.f64 c b) a)
(*.f64 c (/.f64 a b))
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(*.f64 (/.f64 c b) a)
(*.f64 c (/.f64 a b))
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(*.f64 (/.f64 c b) a)
(*.f64 c (/.f64 a b))
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(*.f64 (/.f64 c b) a)
(*.f64 c (/.f64 a b))
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(*.f64 (/.f64 c b) a)
(*.f64 c (/.f64 a b))
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(*.f64 (/.f64 c b) a)
(*.f64 c (/.f64 a b))
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(*.f64 (/.f64 c b) a)
(*.f64 c (/.f64 a b))
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(*.f64 (/.f64 c b) a)
(*.f64 c (/.f64 a b))
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(*.f64 (/.f64 c b) a)
(*.f64 c (/.f64 a b))
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(*.f64 (/.f64 c b) a)
(*.f64 c (/.f64 a b))
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(*.f64 (/.f64 c b) a)
(*.f64 c (/.f64 a b))
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(*.f64 (/.f64 c b) a)
(*.f64 c (/.f64 a b))
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(*.f64 (/.f64 c b) a)
(*.f64 c (/.f64 a b))
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(*.f64 (/.f64 c b) a)
(*.f64 c (/.f64 a b))
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(*.f64 (/.f64 c b) a)
(*.f64 c (/.f64 a b))
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(*.f64 (/.f64 c b) a)
(*.f64 c (/.f64 a b))
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(*.f64 (/.f64 c b) a)
(*.f64 c (/.f64 a b))
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(*.f64 (/.f64 c b) a)
(*.f64 c (/.f64 a b))
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(*.f64 (/.f64 c b) a)
(*.f64 c (/.f64 a b))
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(*.f64 (/.f64 c b) a)
(*.f64 c (/.f64 a b))
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(*.f64 (/.f64 c b) a)
(*.f64 c (/.f64 a b))
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(*.f64 (/.f64 c b) a)
(*.f64 c (/.f64 a b))
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(*.f64 (/.f64 c b) a)
(*.f64 c (/.f64 a b))
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(*.f64 (/.f64 c b) a)
(*.f64 c (/.f64 a b))
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(*.f64 (/.f64 c b) a)
(*.f64 c (/.f64 a b))
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(*.f64 (/.f64 c b) a)
(*.f64 c (/.f64 a b))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(*.f64 (/.f64 c (/.f64 b a)) -3/2)
(.f64 (.f64 (/.f64 c b) a) -3/2)
(.f64 (.f64 c a) (/.f64 -3/2 b))
(.f64 c (.f64 a (/.f64 -3/2 b)))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(*.f64 (/.f64 c (/.f64 b a)) -3/2)
(.f64 (.f64 (/.f64 c b) a) -3/2)
(.f64 (.f64 c a) (/.f64 -3/2 b))
(.f64 c (.f64 a (/.f64 -3/2 b)))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(*.f64 (/.f64 c (/.f64 b a)) -3/2)
(.f64 (.f64 (/.f64 c b) a) -3/2)
(.f64 (.f64 c a) (/.f64 -3/2 b))
(.f64 c (.f64 a (/.f64 -3/2 b)))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(*.f64 (/.f64 c (/.f64 b a)) -3/2)
(.f64 (.f64 (/.f64 c b) a) -3/2)
(.f64 (.f64 c a) (/.f64 -3/2 b))
(.f64 c (.f64 a (/.f64 -3/2 b)))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(*.f64 (/.f64 c (/.f64 b a)) -3/2)
(.f64 (.f64 (/.f64 c b) a) -3/2)
(.f64 (.f64 c a) (/.f64 -3/2 b))
(.f64 c (.f64 a (/.f64 -3/2 b)))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(*.f64 (/.f64 c (/.f64 b a)) -3/2)
(.f64 (.f64 (/.f64 c b) a) -3/2)
(.f64 (.f64 c a) (/.f64 -3/2 b))
(.f64 c (.f64 a (/.f64 -3/2 b)))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(*.f64 (/.f64 c (/.f64 b a)) -3/2)
(.f64 (.f64 (/.f64 c b) a) -3/2)
(.f64 (.f64 c a) (/.f64 -3/2 b))
(.f64 c (.f64 a (/.f64 -3/2 b)))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(*.f64 (/.f64 c (/.f64 b a)) -3/2)
(.f64 (.f64 (/.f64 c b) a) -3/2)
(.f64 (.f64 c a) (/.f64 -3/2 b))
(.f64 c (.f64 a (/.f64 -3/2 b)))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(*.f64 (/.f64 c (/.f64 b a)) -3/2)
(.f64 (.f64 (/.f64 c b) a) -3/2)
(.f64 (.f64 c a) (/.f64 -3/2 b))
(.f64 c (.f64 a (/.f64 -3/2 b)))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(*.f64 (/.f64 c (/.f64 b a)) -3/2)
(.f64 (.f64 (/.f64 c b) a) -3/2)
(.f64 (.f64 c a) (/.f64 -3/2 b))
(.f64 c (.f64 a (/.f64 -3/2 b)))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(*.f64 (/.f64 c (/.f64 b a)) -3/2)
(.f64 (.f64 (/.f64 c b) a) -3/2)
(.f64 (.f64 c a) (/.f64 -3/2 b))
(.f64 c (.f64 a (/.f64 -3/2 b)))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(*.f64 (/.f64 c (/.f64 b a)) -3/2)
(.f64 (.f64 (/.f64 c b) a) -3/2)
(.f64 (.f64 c a) (/.f64 -3/2 b))
(.f64 c (.f64 a (/.f64 -3/2 b)))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(*.f64 (/.f64 c (/.f64 b a)) -3/2)
(.f64 (.f64 (/.f64 c b) a) -3/2)
(.f64 (.f64 c a) (/.f64 -3/2 b))
(.f64 c (.f64 a (/.f64 -3/2 b)))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(*.f64 (/.f64 c (/.f64 b a)) -3/2)
(.f64 (.f64 (/.f64 c b) a) -3/2)
(.f64 (.f64 c a) (/.f64 -3/2 b))
(.f64 c (.f64 a (/.f64 -3/2 b)))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(*.f64 (/.f64 c (/.f64 b a)) -3/2)
(.f64 (.f64 (/.f64 c b) a) -3/2)
(.f64 (.f64 c a) (/.f64 -3/2 b))
(.f64 c (.f64 a (/.f64 -3/2 b)))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(*.f64 (/.f64 c (/.f64 b a)) -3/2)
(.f64 (.f64 (/.f64 c b) a) -3/2)
(.f64 (.f64 c a) (/.f64 -3/2 b))
(.f64 c (.f64 a (/.f64 -3/2 b)))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(*.f64 (/.f64 c (/.f64 b a)) -3/2)
(.f64 (.f64 (/.f64 c b) a) -3/2)
(.f64 (.f64 c a) (/.f64 -3/2 b))
(.f64 c (.f64 a (/.f64 -3/2 b)))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(*.f64 (/.f64 c (/.f64 b a)) -3/2)
(.f64 (.f64 (/.f64 c b) a) -3/2)
(.f64 (.f64 c a) (/.f64 -3/2 b))
(.f64 c (.f64 a (/.f64 -3/2 b)))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(*.f64 (/.f64 c (/.f64 b a)) -3/2)
(.f64 (.f64 (/.f64 c b) a) -3/2)
(.f64 (.f64 c a) (/.f64 -3/2 b))
(.f64 c (.f64 a (/.f64 -3/2 b)))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(*.f64 (/.f64 c (/.f64 b a)) -3/2)
(.f64 (.f64 (/.f64 c b) a) -3/2)
(.f64 (.f64 c a) (/.f64 -3/2 b))
(.f64 c (.f64 a (/.f64 -3/2 b)))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(*.f64 (/.f64 c (/.f64 b a)) -3/2)
(.f64 (.f64 (/.f64 c b) a) -3/2)
(.f64 (.f64 c a) (/.f64 -3/2 b))
(.f64 c (.f64 a (/.f64 -3/2 b)))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(*.f64 (/.f64 c (/.f64 b a)) -3/2)
(.f64 (.f64 (/.f64 c b) a) -3/2)
(.f64 (.f64 c a) (/.f64 -3/2 b))
(.f64 c (.f64 a (/.f64 -3/2 b)))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(*.f64 (/.f64 c (/.f64 b a)) -3/2)
(.f64 (.f64 (/.f64 c b) a) -3/2)
(.f64 (.f64 c a) (/.f64 -3/2 b))
(.f64 c (.f64 a (/.f64 -3/2 b)))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(*.f64 (/.f64 c (/.f64 b a)) -3/2)
(.f64 (.f64 (/.f64 c b) a) -3/2)
(.f64 (.f64 c a) (/.f64 -3/2 b))
(.f64 c (.f64 a (/.f64 -3/2 b)))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(*.f64 (/.f64 c (/.f64 b a)) -3/2)
(.f64 (.f64 (/.f64 c b) a) -3/2)
(.f64 (.f64 c a) (/.f64 -3/2 b))
(.f64 c (.f64 a (/.f64 -3/2 b)))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(*.f64 (/.f64 c (/.f64 b a)) -3/2)
(.f64 (.f64 (/.f64 c b) a) -3/2)
(.f64 (.f64 c a) (/.f64 -3/2 b))
(.f64 c (.f64 a (/.f64 -3/2 b)))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(*.f64 (/.f64 c (/.f64 b a)) -3/2)
(.f64 (.f64 (/.f64 c b) a) -3/2)
(.f64 (.f64 c a) (/.f64 -3/2 b))
(.f64 c (.f64 a (/.f64 -3/2 b)))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(*.f64 (/.f64 c (/.f64 b a)) -3/2)
(.f64 (.f64 (/.f64 c b) a) -3/2)
(.f64 (.f64 c a) (/.f64 -3/2 b))
(.f64 c (.f64 a (/.f64 -3/2 b)))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(*.f64 (/.f64 c (/.f64 b a)) -3/2)
(.f64 (.f64 (/.f64 c b) a) -3/2)
(.f64 (.f64 c a) (/.f64 -3/2 b))
(.f64 c (.f64 a (/.f64 -3/2 b)))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(*.f64 (/.f64 c (/.f64 b a)) -3/2)
(.f64 (.f64 (/.f64 c b) a) -3/2)
(.f64 (.f64 c a) (/.f64 -3/2 b))
(.f64 c (.f64 a (/.f64 -3/2 b)))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(*.f64 (/.f64 c (/.f64 b a)) -3/2)
(.f64 (.f64 (/.f64 c b) a) -3/2)
(.f64 (.f64 c a) (/.f64 -3/2 b))
(.f64 c (.f64 a (/.f64 -3/2 b)))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(*.f64 (/.f64 c (/.f64 b a)) -3/2)
(.f64 (.f64 (/.f64 c b) a) -3/2)
(.f64 (.f64 c a) (/.f64 -3/2 b))
(.f64 c (.f64 a (/.f64 -3/2 b)))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(*.f64 (/.f64 c (/.f64 b a)) -3/2)
(.f64 (.f64 (/.f64 c b) a) -3/2)
(.f64 (.f64 c a) (/.f64 -3/2 b))
(.f64 c (.f64 a (/.f64 -3/2 b)))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(*.f64 (/.f64 c (/.f64 b a)) -3/2)
(.f64 (.f64 (/.f64 c b) a) -3/2)
(.f64 (.f64 c a) (/.f64 -3/2 b))
(.f64 c (.f64 a (/.f64 -3/2 b)))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(*.f64 (/.f64 c (/.f64 b a)) -3/2)
(.f64 (.f64 (/.f64 c b) a) -3/2)
(.f64 (.f64 c a) (/.f64 -3/2 b))
(.f64 c (.f64 a (/.f64 -3/2 b)))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(*.f64 (/.f64 c (/.f64 b a)) -3/2)
(.f64 (.f64 (/.f64 c b) a) -3/2)
(.f64 (.f64 c a) (/.f64 -3/2 b))
(.f64 c (.f64 a (/.f64 -3/2 b)))

prune52.0ms (0.9%)

Pruning

13 alts after pruning (10 fresh and 3 done)

	Pruned	Kept	Total
New	96	4	100
Fresh	0	6	6
Picked	1	0	1
Done	0	3	3
Total	97	13	110

Error

7.2b

Counts

110 → 13

Alt Table

Status	Error	Program
	55.1b	(.f64 (.f64 -3/2 (.f64 (/.f64 c b) a)) (sqrt.f64 (/.f64 1/9 (.f64 a a))))
✓	35.0b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -3)))) b) (/.f64 1/3 a))
	57.7b	(/.f64 (+.f64 (neg.f64 b) (fma.f64 -3/2 (.f64 (/.f64 c b) a) b)) (.f64 3 a))
	47.1b	(/.f64 (/.f64 (-.f64 (.f64 b b) (fma.f64 b b (.f64 c (.f64 a -3)))) (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))))) (.f64 3 a))
	46.0b	(fma.f64 1/2 (/.f64 c b) (*.f64 (/.f64 b a) -2/3))
✓	40.7b	(*.f64 -1/2 (/.f64 c b))
	46.0b	(.f64 (/.f64 (-.f64 (fma.f64 b b (.f64 a (.f64 c -3))) (.f64 b b)) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -3)))))) (/.f64 1/3 a))
	45.2b	(.f64 (.f64 -3/2 (*.f64 (/.f64 c b) a)) (pow.f64 (cbrt.f64 (/.f64 1/3 a)) 3))
	54.7b	(.f64 (.f64 -3/2 (*.f64 (/.f64 c b) a)) (exp.f64 (log.f64 (/.f64 1/3 a))))
	45.8b	(/.f64 (+.f64 (neg.f64 b) (neg.f64 b)) (*.f64 3 a))
	57.8b	(log.f64 (exp.f64 (/.f64 (.f64 (.f64 (/.f64 c b) a) -1/2) a)))
✓	35.0b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))
	45.8b	(/.f64 -2/3 (/.f64 a b))

Compiler

Compiled 1634 to 939 computations (42.5% saved)

regimes1.1s (19.8%)

Accuracy

Total -53.7b remaining (-526.9%)

Threshold costs -53.7b (-526.9%)

Counts

66 → 3

Compiler

Compiled 1149 to 692 computations (39.8% saved)

bsearch93.0ms (1.6%)

Algorithm

2×	binary-search

Calls

2 calls:

58.0ms	b
34.0ms	b

Steps

Iters	Point		Range
6.5e-102	∈ [	6.3685857003304894e-102	,	2.5618018310605235e-87	]
-4.5e+150	∈ [	-1.7530352989327205e+162	,	-4.450876382441955e+150	]

Compiler

Compiled 545 to 378 computations (30.6% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

5×	`*-commutative_binary64`
2×	`+-commutative_binary64`
2×	`sub-neg_binary64`
1×	`neg-sub0_binary64`
1×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	48
1	32	48
2	37	48
3	39	48
4	40	48

Stop Event

1×

saturated

Calls

Call 1

Inputs

(if (<=.f64 b -4500000000000000004615023312919046976244516049137001363115411731608208040102828520973253222947735599606040610418237719577866846273710059458875384397824) (/.f64 -2/3 (/.f64 a b)) (if (<=.f64 b 2048904322212513/315216049571155833698232320801148910440637914163723573343586347233965774171977684891314130039079325126453023922454528) (/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -3)))) b) (*.f64 3 a)) (*.f64 -1/2 (/.f64 c b))))

Outputs

(if (<=.f64 b -4500000000000000004615023312919046976244516049137001363115411731608208040102828520973253222947735599606040610418237719577866846273710059458875384397824) (/.f64 -2/3 (/.f64 a b)) (if (<=.f64 b 2048904322212513/315216049571155833698232320801148910440637914163723573343586347233965774171977684891314130039079325126453023922454528) (/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -3)))) b) (*.f64 3 a)) (*.f64 -1/2 (/.f64 c b))))

(if (<=.f64 b -4500000000000000004615023312919046976244516049137001363115411731608208040102828520973253222947735599606040610418237719577866846273710059458875384397824) (/.f64 -2/3 (/.f64 a b)) (if (<=.f64 b 2048904322212513/315216049571155833698232320801148910440637914163723573343586347233965774171977684891314130039079325126453023922454528) (/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -3)))) b) (*.f64 a 3)) (*.f64 -1/2 (/.f64 c b))))

end152.0ms (2.6%)

Stop Event

1×

fuel

Compiler

Compiled 255 to 145 computations (43.1% saved)

Details

analyze968.0ms (16.8%)

sample2.4s (41.9%)

preprocess48.0ms (0.8%)

simplify34.0ms (0.6%)

prune4.0ms (0.1%)

localize10.0ms (0.2%)

series29.0ms (0.5%)

rewrite90.0ms (1.6%)

simplify57.0ms (1%)

prune220.0ms (3.8%)

localize9.0ms (0.2%)

series18.0ms (0.3%)

rewrite76.0ms (1.3%)

simplify48.0ms (0.8%)

prune167.0ms (2.9%)

localize3.0ms (0.1%)

prune10.0ms (0.2%)

localize7.0ms (0.1%)

series19.0ms (0.3%)

rewrite54.0ms (0.9%)

simplify31.0ms (0.5%)

prune52.0ms (0.9%)

regimes1.1s (19.8%)

bsearch93.0ms (1.6%)

simplify3.0ms (0.1%)

end152.0ms (2.6%)

Profiling